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Finding the Fourth Proportional to 23,090.76, 31,863.60 and 13,018.68

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Solution

The fourth proportional to 23,090.76, 31,863.60 and 13,018.68 is: 17,964.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,090.76 : 31,863.60 = 13,018.68 : x
  2. Step 2: Convert to fraction form
    23,090.76/31,863.60 = 13,018.68/x
  3. Step 3: Cross multiply
    23,090.76x = 31,863.60 × 13,018.68
  4. Step 4: Simplify right side
    23,090.76x = 414,822,012.05
  5. Step 5: Solve for x
    x = 414,822,012.05/23,090.76
  6. Step 6: Final answer
    x = 17,964.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.